A criterion of elementary divisor domain for distributive domains
In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2017 |
| ISSN: | 1726-3255 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155960 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862729199819685888 |
|---|---|
| author | Bokhonko, V. Zabavsky, B.V. |
| author_facet | Bokhonko, V. Zabavsky, B.V. |
| citation_txt | A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
|
| first_indexed | 2025-12-07T19:13:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155960 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:13:40Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bokhonko, V. Zabavsky, B.V. 2019-06-17T15:51:24Z 2019-06-17T15:51:24Z 2017 A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ. 1726-3255 2010 MSC:13F99. https://nasplib.isofts.kiev.ua/handle/123456789/155960 In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A criterion of elementary divisor domain for distributive domains Article published earlier |
| spellingShingle | A criterion of elementary divisor domain for distributive domains Bokhonko, V. Zabavsky, B.V. |
| title | A criterion of elementary divisor domain for distributive domains |
| title_full | A criterion of elementary divisor domain for distributive domains |
| title_fullStr | A criterion of elementary divisor domain for distributive domains |
| title_full_unstemmed | A criterion of elementary divisor domain for distributive domains |
| title_short | A criterion of elementary divisor domain for distributive domains |
| title_sort | criterion of elementary divisor domain for distributive domains |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155960 |
| work_keys_str_mv | AT bokhonkov acriterionofelementarydivisordomainfordistributivedomains AT zabavskybv acriterionofelementarydivisordomainfordistributivedomains AT bokhonkov criterionofelementarydivisordomainfordistributivedomains AT zabavskybv criterionofelementarydivisordomainfordistributivedomains |